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Finding the Fourth Proportional to 111.74, 153.86 and 107.13

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Solution

The fourth proportional to 111.74, 153.86 and 107.13 is: 147.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.74 : 153.86 = 107.13 : x
  2. Step 2: Convert to fraction form
    111.74/153.86 = 107.13/x
  3. Step 3: Cross multiply
    111.74x = 153.86 × 107.13
  4. Step 4: Simplify right side
    111.74x = 16,482.72
  5. Step 5: Solve for x
    x = 16,482.72/111.74
  6. Step 6: Final answer
    x = 147.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.